Crossing-Preserving Geodesic Tracking on Spherical Images

Nicky J. van den Berg; Finn M. Sherry; Tos T.J.M. Berendschot; Remco Duits

doi:10.1007/978-3-031-92369-2_15

Crossing-Preserving Geodesic Tracking on Spherical Images

Nicky J. van den Berg (Corresponderende auteur), Finn M. Sherry, Tos T.J.M. Berendschot, Remco Duits

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

In image analysis one often encounters spherical images, for instance in retinal imaging. The behavior of the vessels in the retina is an indicator of several diseases. To automate disease diagnosis using retinal images, it is necessary to develop an algorithm that automatically identifies and tracks vessels. To deal with crossings due to projected blood vessels in the image it is common to lift retinal images to the space of planar positions and orientations.M2 := R2×S1. This implicitly assumes that the flat image accurately represents the geometry of the retina. As the eyeball is a sphere (and not a plane), we propose to compute the cusp-free, crossing-preserving geodesics in the space of spherical positions and orientations .W2 on wide-field images. We clarify how to relate both manifolds and compare the calculated geodesics. The results show clear advantages of crossing-preserving tracking in.W2 over non-crossing-preserving tracking in .W2 and are comparable to tracking results in .M2.

Originele taal-2	Engels
Titel	Scale Space and Variational Methods in Computer Vision
Subtitel	10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II
Redacteuren	Tatiana A. Bubba, Romina Gaburro, Silvia Gazzola, Kostas Papafitsoros, Marcelo Pereyra, Carola-Bibiane Schönlieb
Plaats van productie	Cham
Uitgeverij	Springer
Hoofdstuk	II
Pagina's	192-204
Aantal pagina's	13
ISBN van elektronische versie	978-3-031-92369-2
ISBN van geprinte versie	978-3-031-92368-5
DOI's	https://doi.org/10.1007/978-3-031-92369-2_15
Status	Gepubliceerd - 17 mei 2025
Evenement	10th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2025 - Dartington, Verenigd Koninkrijk Duur: 18 mei 2025 → 22 mei 2025

Publicatie series

Naam	Lecture Notes in Computer Science
Volume	15668
ISSN van geprinte versie	0302-9743
ISSN van elektronische versie	1611-3349

Congres

Congres	10th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2025
Verkorte titel	SSVM 2025
Land/Regio	Verenigd Koninkrijk
Stad	Dartington
Periode	18/05/25 → 22/05/25

Financiering

We gratefully acknowledge the Dutch Foundation of Science NWO for its financial support by Talent Programme VICI 2020 Exact Sciences (Duits, Geometric learning for Image Analysis, VI.C 202-031). We thank the students of the modeling week project \u201CGeodesic Tracking of Blood Vessels in Wide-Field Retinal Images\u201D for preliminary experimental results.

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10.1007/978-3-031-92369-2_15

https://arxiv.org/abs/2504.03388v1Licentie: Onbepaald

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Embargo eindigt: 17/11/25

Citeer dit

van den Berg, N. J., Sherry, F. M., Berendschot, T. T. J. M., & Duits, R. (2025). Crossing-Preserving Geodesic Tracking on Spherical Images. In T. A. Bubba, R. Gaburro, S. Gazzola, K. Papafitsoros, M. Pereyra, & C.-B. Schönlieb (editors), Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II (blz. 192-204). (Lecture Notes in Computer Science; Vol. 15668). Springer. https://doi.org/10.1007/978-3-031-92369-2_15

van den Berg, Nicky J. ; Sherry, Finn M. ; Berendschot, Tos T.J.M. et al. / Crossing-Preserving Geodesic Tracking on Spherical Images. Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II. redacteur / Tatiana A. Bubba ; Romina Gaburro ; Silvia Gazzola ; Kostas Papafitsoros ; Marcelo Pereyra ; Carola-Bibiane Schönlieb. Cham : Springer, 2025. blz. 192-204 (Lecture Notes in Computer Science).

@inproceedings{4bd5c888cc47442f8922d6415d839043,

title = "Crossing-Preserving Geodesic Tracking on Spherical Images",

abstract = "In image analysis one often encounters spherical images, for instance in retinal imaging. The behavior of the vessels in the retina is an indicator of several diseases. To automate disease diagnosis using retinal images, it is necessary to develop an algorithm that automatically identifies and tracks vessels. To deal with crossings due to projected blood vessels in the image it is common to lift retinal images to the space of planar positions and orientations.M2 := R2×S1. This implicitly assumes that the flat image accurately represents the geometry of the retina. As the eyeball is a sphere (and not a plane), we propose to compute the cusp-free, crossing-preserving geodesics in the space of spherical positions and orientations .W2 on wide-field images. We clarify how to relate both manifolds and compare the calculated geodesics. The results show clear advantages of crossing-preserving tracking in.W2 over non-crossing-preserving tracking in .W2 and are comparable to tracking results in .M2.",

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booktitle = "Scale Space and Variational Methods in Computer Vision",

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van den Berg, NJ , Sherry, FM , Berendschot, TTJM & Duits, R 2025, Crossing-Preserving Geodesic Tracking on Spherical Images. in TA Bubba, R Gaburro, S Gazzola, K Papafitsoros, M Pereyra & C-B Schönlieb (uitgave), Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II. Lecture Notes in Computer Science, vol. 15668, Springer, Cham, blz. 192-204, 10th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2025, Dartington, Verenigd Koninkrijk, 18/05/25. https://doi.org/10.1007/978-3-031-92369-2_15

Crossing-Preserving Geodesic Tracking on Spherical Images. / van den Berg, Nicky J. (Corresponderende auteur); Sherry, Finn M.; Berendschot, Tos T.J.M. et al.
Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II. uitgave / Tatiana A. Bubba; Romina Gaburro; Silvia Gazzola; Kostas Papafitsoros; Marcelo Pereyra; Carola-Bibiane Schönlieb. Cham: Springer, 2025. blz. 192-204 (Lecture Notes in Computer Science; Vol. 15668).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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van den Berg NJ , Sherry FM , Berendschot TTJM , Duits R. Crossing-Preserving Geodesic Tracking on Spherical Images. In Bubba TA, Gaburro R, Gazzola S, Papafitsoros K, Pereyra M, Schönlieb CB, redacteurs, Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II. Cham: Springer. 2025. blz. 192-204. (Lecture Notes in Computer Science). doi: 10.1007/978-3-031-92369-2_15

Crossing-Preserving Geodesic Tracking on Spherical Images

Samenvatting

Publicatie series

Congres

Financiering

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